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10144322300 = 22527191495119
BaseRepresentation
bin10010111001010011…
…00001001011111100
3222011222022222002202
421130221201023330
5131233421303200
64354340011032
7506246213450
oct113451411374
928158288082
1010144322300
114336229542
121b71390a78
13c5887bc98
146c33b0660
153e58ba1d5
hex25ca612fc

10144322300 has 144 divisors (see below), whose sum is σ = 26664960000. Its totient is φ = 3272244480.

The previous prime is 10144322299. The next prime is 10144322303. The reversal of 10144322300 is 322344101.

10144322300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144322303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1979141 + ... + 1984259.

Almost surely, 210144322300 is an apocalyptic number.

10144322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480000).

10144322300 is an abundant number, since it is smaller than the sum of its proper divisors (16520637700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10144322300 is a wasteful number, since it uses less digits than its factorization.

10144322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10144322300 its reverse (322344101), we get a palindrome (10466666401).

The spelling of 10144322300 in words is "ten billion, one hundred forty-four million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 149 175 190 266 298 350 380 475 532 596 665 700 745 950 1043 1330 1490 1900 2086 2660 2831 2980 3325 3725 4172 5119 5215 5662 6650 7450 10238 10430 11324 13300 14155 14900 19817 20476 20860 25595 26075 28310 35833 39634 51190 52150 56620 70775 71666 79268 97261 99085 102380 104300 127975 141550 143332 179165 194522 198170 255950 283100 358330 389044 396340 486305 495425 511900 680827 716660 762731 895825 972610 990850 1361654 1525462 1791650 1945220 1981700 2431525 2723308 3050924 3404135 3583300 3813655 4863050 5339117 6808270 7627310 9726100 10678234 13616540 14491889 15254620 17020675 19068275 21356468 26695585 28983778 34041350 38136550 53391170 57967556 68082700 72459445 76273100 101443223 106782340 133477925 144918890 202886446 266955850 289837780 362297225 405772892 507216115 533911700 724594450 1014432230 1449188900 2028864460 2536080575 5072161150 10144322300